Hello!
To solve this problem, we will use a system of equations. We will have one number be x and the other y. We will use substitutions to solve for each variable.
x+y=9
x=2y-9
To solve for the two numbers, we need to solve the top equation. The second equation shows that x=2y-9. In the first equation, we can replace 2y-9 for x and solve.
2y-9+y=9
3y-9=9
3y=18
y=6
We now know the value of y. Now we need to find x. We can plug in 6 for y in the second equation to find x.
x=2·6-9
x=12-9
x=3
Just to check, we will plug these two numbers into the first equation.
3+6=9
9=9
Our two numbers are three and six.
I hope this helps!
First the cost of $98 /yd³ by the conversion factor that
1 yd³ = 27 ft³.
($98 /yd³) (1 yd³ / 27 ft³) = $ 3 17/27/ft³
Let x be the width, the volume of the rectangular portion of the driveway is,
V = (8 ft) (1/3 ft) x = 8x/3 ft³
Using the given total cost of the protion,
C = $58.07 = (8x/3 ft³)(<span>$ 3 17/27/ft³)
x = 5.99957 ft
the answer is 6 feet. (rounded)</span>
Answer:
x = -4/5 or x = 71/8
Step-by-step explanation:
Solve for x:
(5 x + 4) (8 x - 71) = 0
Split into two equations:
5 x + 4 = 0 or 8 x - 71 = 0
Subtract 4 from both sides:
5 x = -4 or 8 x - 71 = 0
Divide both sides by 5:
x = -4/5 or 8 x - 71 = 0
Add 71 to both sides:
x = -4/5 or 8 x = 71
Divide both sides by 8:
Answer: x = -4/5 or x = 71/8
Answer:
20
Step-by-step explanation:
First you need to figure out what they multiplied 6 by to get 60, to do that reverse the operation to make it 60÷6=10. Then you multiply the 10 by the 2 to get 20.
Father = x
son = y
x-5 = 7(y-5)
x +5 = 3(y+5) solve the system
x-5 = 7y-35
x+5 = 3y +15
x-5 = 7y-35
-x-5 = -3y -15
-10 = 4y -50
+50 +50
40 = 4y
10 = y
Solve for X
x+5 = 3(10) + 15
x+5 = 45
x = 40
The father is 40yrs old and the son is 10yrs old.